Question 391396
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Let *[tex \Large x] represent the number of Granny Smith apples, and let *[tex \Large y] represent the number of Gala apples.  Then *[tex \Large 25x] is the value of the Granny Smith apples in cents while *[tex \Large 30y] is the value of the Gala apples in cents.  Since the total cost was $5.10, the total cost was 510¢.


Because there are 19 apples total:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ =\ 19]


Because the total value is 510¢:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 25x\ +\ 30y\ =\ 510]


Solve the first equation for either of the variables in terms of the other, e.g. *[tex \Large y\ =\ 19\ -\ x], and then substitute into the second equation and solve for the remaining variable.  Simple substitution of the result back into the first equation provides the value of the other variable.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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